Multiple choice

Two bikes are moving with speed v1, v2 towards a crossing along two roads. If their distance from the crossing be 40 metres and 50 metres at an instant of time then they do not collide if their speed are such that दो बाइक v1, v2 गतियो से दो सड़कों पर स्थित एक क्रासिंग की ओर गति कर रहीं हैं | यदि उनकी किसी क्षण क्रासिंग से दूरी 40 मीटर और 50 मीटर हैं तो वे एक दूसरे से नहीं टकराएगी यदि उनकी गतियाँ होगीं

  1. v1 : v2 = 16 : 25

  2. v1 : v2 ≠ 4 : 5

  3. v1 : v2 ≠ 5 : 4

  4. v1 : v2 = 25 : 16

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For no collision, bikes must reach the crossing at different times. Time for bike 1: 40/v1, time for bike 2: 50/v2. They don't collide if 40/v1 ≠ 50/v2, which simplifies to v1/v2 ≠ 40/50 = 4/5. Therefore, the condition for no collision is v1 : v2 ≠ 4 : 5, making option B correct. Option C would mean v1 : v2 ≠ 5 : 4, which is different.